| 摘要(英) |
This thesis uses the Dirac equation to calculate the spontaneous spin particle pair creation near event horizon of the near-extremal Reissner-Nordström black holes. In vacuum, virtual particles are randomly generated, due to the quantum perturbations, and quickly annihilated. There are possibilities that one of a particle pair can be caught into horizon before annihilation and the other is scattered out to infinity producing Hawking radiation. This effect is equivalent to the extra particle which is observed from a quantum vacuum by an accelerated observer. The ratio of the incoming/outgoing particle fluxes can be obtained by computing the transmitted and reflected conserved currents, then one can obtain the production rate of emitted particles.
A black hole which carries equal mass and charge is known as an extremal Reissner-Nordström black hole. The spacetime geometry of the near-horizon near-extremal Reissner-Nordström black hole is a two-dimensional anti-de Sitter(AdS) space cross a sphere. Dirac equation in this curved spacetime needs to add connection terms which can be removed by multiplying a certain function on the spin field. Then, by imposing a particular assumption, the four variables coupled partial differential equations can be simplified to two variables coupled differential equations. The exact solution can be obtained and the conserved currents at asymptotic and near horizon can be computed. By imposing no in-going current at asymptotic infinity, computing ratios of the other currents is the main goal of this thesis. |
| 參考文獻 |
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[8] C. -M. Chen, S. P. Kim, I-C. Lin, J. -R. Sun and M. -F. Wu, "Spontaneous Pair Production in Reissner-Nordstrom Black Holes," Phys. Rev. D 85, 124041 (2012) [arXiv:1202.3224 [hep-th]].
[9] V. Dzhunushaliev, "Canonical Conjugated Dirac Equation in a Curved Space," arXiv:1202.5100 [gr-qc].
[10] T. Faulkner, N. Iqbal, H. Liu, J. McGreevy and D. Vegh, "Holographic Non-Fermi Liquid Fixed Points," Phil. Trans. Roy. Soc. A 369, 1640 (2011) [arXiv:1101.0597 [hep-th]].
[11] S. M. Carroll, "Spacetime and geometry: An introduction to general relativity," San Francisco, USA: Addison-Wesley (2004).
[12] N. J. Poplawski, "Spacetime and Fields," arXiv:0911.0334 [gr-qc].
[13] Wolfram MathWorld: The Web′s Most Extensive Mathematics Resource http://mathworld.wolfram.com/ |
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